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What is the Least Common Multiple of 66214 and 66227?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 66214 and 66227 is 4385154578.

LCM(66214,66227) = 4385154578

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Least Common Multiple of 66214 and 66227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66214 and 66227, than apply into the LCM equation.

GCF(66214,66227) = 1
LCM(66214,66227) = ( 66214 × 66227) / 1
LCM(66214,66227) = 4385154578 / 1
LCM(66214,66227) = 4385154578

Least Common Multiple (LCM) of 66214 and 66227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66214 and 66227. First we will calculate the prime factors of 66214 and 66227.

Prime Factorization of 66214

Prime factors of 66214 are 2, 33107. Prime factorization of 66214 in exponential form is:

66214 = 21 × 331071

Prime Factorization of 66227

Prime factors of 66227 are 7, 9461. Prime factorization of 66227 in exponential form is:

66227 = 71 × 94611

Now multiplying the highest exponent prime factors to calculate the LCM of 66214 and 66227.

LCM(66214,66227) = 21 × 331071 × 71 × 94611
LCM(66214,66227) = 4385154578